Will the state remove someone from their home if they repeatedly injure themselves by falling?

Our LO has dementia. I think it would be considered moderate stage.

Under what circumstances will the state step in? If someone is falling frequently, is that alone enough reason to remove them from the home? What would be done in a residential care facility to prevent falls that can't be done at home?

I think our LO is just forgetting the mechanics of standing up and walking. She seems to lose her balance and falls even when she looked like she was standing still. She is tumbling forward or sideways when seated on chairs and beds. If she takes a particularly bad spill, she is brought to the ER. She has not broken anything but she does bruise very easily and looks pretty battered. The ER cannot find any reason (low blood pressure, over medication, bad gait, ect...) for her falls. The ER discussed keeping her in the hospital for observation on the last ER visit, which upset her husband. They agreed to let her go home if he brought in more support.

There is a physical therapist coming tomorrow to evaluate the situation. But would the state require that she be removed from the home if we can't find some solution to her falling?